Q.
The relation R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)} on set A={1,2,3} is
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a
Reflexive but not symmetric
b
Reflexive but not transitive
c
Symmetric and transitive
d
Neither symmetric nor transitive
answer is A.
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Detailed Solution
The relation R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)} on set A={1,2,3} is Reflexive but not symmetric(1,1), (2,2), (3,3) are belongs to R so that the relation R is Reflexive 2,3∈R⇒3,2∈ R,. so that the relation R is not symmetricThe relation R is Transitive. Suitable option is Reflexive but not symmetric
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